journal article·2026-02-13Open access

Fatigue Life Prediction of Steels in Hydrogen Environments Using Physics-Informed Learning

Huaxi Wu, Xinkai Guo, Wen Sun, Lu-Kai Song, Qingyang Deng, Shiyuan Yang, Debiao Meng

Applied Sciences· Volume 16· Issue 4

Abstract

Hydrogen embrittlement poses a critical threat to the durability of metallic components in emerging hydrogen energy infrastructure. Reliable fatigue life assessment in hydrogen-rich environments is, however, severely constrained by the high cost and low throughput of high-pressure testing, resulting in characteristically sparse experimental datasets. Conventional empirical fatigue models struggle to capture hydrogen–mechanical coupling effects, while purely data-driven approaches often suffer from severe overfitting under data-scarce conditions. To address this challenge, this study develops a physics-enhanced learning framework that integrates established fracture mechanics principles with machine learning. Using high-strength GS80A steel as a case study, two complementary strategies are introduced. First, a physically augmented input strategy reformulates raw experimental variables into dimensionless physical descriptors derived from the Basquin and Goodman relations, thereby reducing the complexity of the learning space. Second, a physics-regularized ensemble strategy combines deterministic physical predictions with neural network outputs through a dual-pathway inference scheme, ensuring physically admissible behavior during extrapolation. An automated hyperparameter selection module is further employed to establish a robust data-driven baseline. Comparative evaluation against optimized multi-layer perceptron and support vector regression models demonstrates that the proposed framework significantly improves predictive robustness in small-sample regimes. Specifically, the coefficient of determination (R2) exceeds 0.975, with the root mean square error (RMSE) reduced by approximately 70% compared to the pure data-driven baseline. By systematically embedding mechanistic priors into the learning process, the proposed approach provides a reliable and interpretable tool for fatigue assessment of metallic components operating in hydrogen environments.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Hydrogen embrittlement and corrosion behaviors in metals · Fatigue and fracture mechanics · High Temperature Alloys and Creep

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

School of Mechanical and Electrical Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China

Institute of Electronic and Information Engineering of UESTC in Guangdong, Dongguan 523808, China

School of Mechanical Engineering, University Science and Technology Beijing, Beijing 100083, China

Faculty of Geosciences and Engineering, Southwest Jiaotong University, Chengdu 611756, China

College of Engineering Architecture Technology, Oklahoma State University, Stillwater, OK 74075, USA

LAETA, Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, 4200-425 Porto, Portugal

Funding

Guangdong Basic and Applied Basic Research Foundation · China Scholarship Council

References (68)

Show source-provided references
1. Probabilistic modeling of uncertainties in reliability analysis of mid- and high-strength steel pipelines under hydrogen-induced damage10.1108/IJSI-10-2024-0177 ↗
2. Yang, S., Meng, D., Nie, P., De Jesus, A.M.P., and Sun, Y. (2025). Fatigue behaviour of metallic materials under hydrogen environment: Historical perspectives, recent developments, and future prospects. Appl. Sci., 15.10.3390/app15147818 ↗
3. A statistical review of hydrogen effects on the fatigue and fracture behavior of steel10.1111/ffe.14687 ↗
4. Li, Q., Ghadiani, H., Jalilvand, V., Alam, T., Farhat, Z., and Islam, M.A. (2024). Hydrogen impact: A review on diffusibility, embrittlement mechanisms, and characterization. Materials, 17.10.3390/ma17040965 ↗
5. Asante-Okyere, S., Mensah, R.A., Sandström, J., and Försth, M. (2025). Risk and safety assessment of hydrogen pipelines and storage tanks using preliminary hazard analysis. Front. Chem. Eng., 7.10.3389/fceng.2025.1722173 ↗
6. Paterlini, L., Re, G., Curia, A., Ormellese, M., and Bolzoni, F. (2025). Mechanical testing methods for assessing hydrogen embrittlement in pipeline steels: A review. Metals, 15.10.3390/met15101123 ↗
7. A fully kinetic model for hydrogen transport near a blunting crack tip10.1016/j.ijplas.2025.104406 ↗
8. Djukic, M.B., Bakic, G., Šijački-Žeravčić, V., Rajicic, B., Sedmak, A., Wasim, M., and Perišić, J. (2021, January 28–29). The synergistic action of HELP and HEDE mechanisms of hydrogen embrittlement in steels. Proceedings of the International Symposium: HYDROGENIUS, I2CNER and HydroMate Joint Research Symposium on HydrogenMaterials Interactions, Fukuoka, Japan.
9. Overview of hydrogen-resistant alloys for high-pressure hydrogen environment: On the hydrogen energy structural materials10.1093/ce/zkad009 ↗
10. Oesterlin, H., Michler, T., Fischer, C., and Schönborn, S. (2023, January 17–21). Low cycle fatigue testing in high pressure gaseous hydrogen using tubular specimens. Proceedings of the International Hydrogen Conference: Understanding Hydrogen-Materials Interactions, Park City, UT, USA.
11. Physics-informed machine learning10.1038/s42254-021-00314-5 ↗
12. The synergistic action and interplay of hydrogen embrittlement mechanisms in steels and iron: Localized plasticity and decohesion10.1016/j.engfracmech.2019.106528 ↗
13. Hydrogen embrittlement in different materials: A review10.1016/j.ijhydene.2018.09.201 ↗
14. A review on fatigue design of offshore structures10.1504/IJOSM.2025.146788 ↗
15. Intelligent-inspired framework for fatigue reliability evaluation of offshore wind turbine support structures under hybrid uncertainty10.1016/j.oceaneng.2024.118213 ↗
16. Defect driven physics-informed neural network framework for fatigue life prediction of additively manufactured materials10.1098/rsta.2022.0386 ↗
17. Physics informed ensemble learning used for interval prediction of fracture toughness of pipeline steels in hydrogen environments10.1016/j.tafmec.2024.104302 ↗
18. High-cycle and very-high-cycle fatigue life prediction in additive manufacturing using hybrid physics-informed neural networks10.1016/j.engfracmech.2025.111026 ↗
19. Coupled effects of hydrogen embrittlement and temperature and surface roughness on the mechanical properties of GS80A steel10.1016/j.engfailanal.2024.108112 ↗
20. Hydrogen-assisted cracking: A deep learning approach for fractographic analysis10.1016/j.commatsci.2025.114366 ↗
21. Hydrogen trapping and embrittlement in metals—A review10.1016/j.ijhydene.2024.04.076 ↗
22. Quantifying conservatism in ASME B31.12 Option A for hydrogen pipeline repurposing10.1016/j.ijhydene.2025.152188 ↗
23. Advanced statistical and reliability analysis for corrosion-fatigue performance of hydrogen-impacted pipeline steels10.1016/j.ress.2025.111387 ↗
24. Understanding and mitigating hydrogen embrittlement of steels: A review of experimental, modelling and characterization progress
25. A novel Kriging-model-assisted reliability-based multidisciplinary design optimization strategy and its application in the offshore wind turbine tower10.1016/j.renene.2022.12.062 ↗
26. Kriging-assisted hybrid reliability design and optimization of offshore wind turbine support structure based on a portfolio allocation strategy10.1016/j.oceaneng.2024.116842 ↗
27. Time-varying mesh stiffness modelling of offshore wind gearboxes under multi-fault modes10.1680/jmaen.25.00031 ↗
28. Modelling and analysis of offshore wind turbine gearbox under multi-field coupling10.1504/IJOSM.2025.146804 ↗
29. Mixed loss-guided modular regression for dependent system reliability10.1016/j.ress.2025.111898 ↗
30. Cascade sampling-driven block mapping for coupled reliability evaluation of turbine cooling systems10.1016/j.ymssp.2025.113008 ↗
31. A method for extracting bearing degradation data of ship propulsion systems based on cumulative features10.1504/IJOSM.2025.150800 ↗
32. Key vulnerability parameters for steel pipe pile-supported wharves considering the uncertainties in structural design10.1504/IJOSM.2025.146803 ↗
33. A novel hybrid adaptive Kriging and water cycle algorithm for reliability-based design and optimization strategy: Application in offshore wind turbine monopile10.1016/j.cma.2023.116083 ↗
34. Machine learning-based fatigue life prediction of laser powder bed fusion additively manufactured Hastelloy X via nondestructively detected defects10.1108/IJSI-09-2024-0161 ↗
35. A fatigue life prediction framework of laser-directed energy deposition Ti-6Al-4V based on physics-informed neural network10.1108/IJSI-10-2024-0170 ↗
36. Multiaxial low-cycle fatigue life model for notched specimens considering small sample characteristics10.1108/IJSI-05-2024-0071 ↗
37. SigBERT: Vibration-based steel frame structural damage detection through fine-tuning BERT10.1108/IJSI-04-2024-0065 ↗
38. A critical review of machine learning in fatigue life prediction
39. Machine learning for predicting fatigue properties of additively manufactured materials10.1016/j.cja.2023.11.001 ↗
40. Physics-informed ensemble learning for robust extrapolating and revealing fatigue life of composites10.1016/j.compscitech.2025.111302 ↗
41. A generalized machine learning framework to estimate fatigue life across materials with minimal data10.1016/j.matdes.2024.113355 ↗
42. A physics-informed neural network approach to fatigue life prediction using small quantity of samples10.1016/j.ijfatigue.2022.107270 ↗
43. Song, Y., and Zhang, A. (2025). From black box to physically interpretable: Trustworthy computing for AI-driven decision-making and control. J. Autom. Intell.10.1016/j.jai.2025.09.003 ↗
44. El Mir, H., and Perinpanayagam, S. (2022). Certification of machine learning algorithms for safe-life assessment of landing gear. Front. Astron. Space Sci., 9.10.3389/fspas.2022.896877 ↗
45. A novel learning function for adaptive surrogate-model-based reliability evaluation10.1098/rsta.2022.0395 ↗
46. Physics-embedding multi-response regressor for time-variant system reliability assessment10.1016/j.ress.2025.111262 ↗
47. Wang, B., Zhang, P., Xiang, Y., Wang, D., Wu, B., Wang, X., Tang, K., and Chen, A. (2025). Advancing structural failure analysis with physics-informed machine learning in engineering applications. Engineering.10.1016/j.eng.2025.10.003 ↗
48. On the impact of mechanistic model quality and data availability in hybrid model development10.1016/j.compchemeng.2025.109536 ↗
49. Physics-informed neural networks in heat transfer-dominated multiphysics systems: A comprehensive review10.1016/j.engappai.2025.111098 ↗
50. A physically consistent framework for fatigue life prediction using probabilistic physics-informed neural network10.1016/j.ijfatigue.2022.107234 ↗
51. A general physics-informed neural network framework for fatigue life prediction of metallic materials10.1016/j.engfracmech.2025.111136 ↗
52. Corrosion fatigue life prediction of multiple austenitic stainless steel grades in high-temperature, high-pressure water environments using a GA-optimized neural network10.1038/s41598-025-23240-3 ↗
53. Hydrogen-associated decohesion and localized plasticity in a high-Mn and high-Al two-phase lightweight steel10.1016/j.actamat.2022.118296 ↗
54. Zhao, L., Ma, C., Zhao, A., Fan, Y., and Li, Z. (2023). Hydrogen embrittlement behavior of a commercial QP980 steel. Metals, 13.10.3390/met13081469 ↗
55. Hydrogen-assisted, intergranular fatigue crack-growth in ferritic iron: Influences of hydrogen-gas pressure and temperature variation10.1016/j.ijfatigue.2020.105806 ↗
56. The fatigue crack growth behavior of hydrogenated 9Cr-1Mo steel: An experimental and numerical study10.1111/ffe.14267 ↗
57. Overview of gaseous hydrogen-assisted fatigue crack growth in ferritic iron and steels: Bridging micro and macro10.1016/j.ijhydene.2025.01.136 ↗
58. Probabilistic hydrogen-assisted fatigue crack growth under random pressure fluctuations in pipeline steels10.1016/j.ijpvp.2024.105293 ↗
59. Motte, R., and De Waele, W. (2024). An overview of estimations for the high-cycle fatigue strength of conventionally manufactured steels based on other mechanical properties. Metals, 14.10.3390/met14010085 ↗
60. Yang, M., Gao, C., Pang, J., Li, S., Hu, D., Li, X., and Zhang, Z. (2022). High-cycle fatigue behavior and fatigue strength prediction of differently heat-treated 35CrMo steels. Metals, 12.10.3390/met12040688 ↗
61. Modeling of hydrogen-assisted fatigue crack growth in carbon steel pipelines10.1016/j.ijhydene.2025.05.205 ↗
62. Machine learning-based prediction of hydrogen-assisted fatigue crack growth rate in Cr–Mo steel10.1016/j.ijhydene.2025.03.370 ↗
63. Fatigue properties and life prediction of GS80A steel under the effect of hydrogen-rich environment10.1007/s11837-022-05688-0 ↗
64. Data-assisted physics-informed neural network for predicting fatigue life under various strain ratios and pre-strain effect10.1016/j.engfracmech.2025.111319 ↗
65. Physics-informed neural networks for multiaxial fatigue life prediction of aluminum alloy
66. Very high-cycle fatigue behavior of steel in hydrogen environment: State of the art review and challenges10.1016/j.engfailanal.2024.108898 ↗
67. Saxena, A., and Findley, K.O. (2024). A model to account for the effects of load ratio and hydrogen pressure on the fatigue crack growth behavior of pressure vessel steels. Materials, 17.10.3390/ma17174308 ↗
68. Zeng, B., Wei, X.-F., Tan, J.-Z., and Zhang, K.-S. (2025). Low cycle fatigue life prediction for hydrogen-charged HRB400 steel based on CPFEM. Materials, 18.10.3390/ma18163920 ↗